the veterinarian claims that this brand of cat food will extend the years of life for our kitty. the average cat lives for about 15 years. what are the hypotheses for this?

1. I Have no clue

2. -2

3. I have no clue

4. 77

Answer:

Step-by-step explanation:

1) y= -2x-14

2) x=2

3) c=5

4)=67

The total number of books that were never borrowed in a given year. Option B

A library system is a piece of software made specifically for managing a library's activities and inventory of books, periodicals, magazines, and other materials.

It offers a centralized database that librarians may use to manage the library's collection, keep track of borrowing, and keep an eye on other activities related to the library.

This is the kind of software used to collect the information in the question above.

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#Missing parts;

A library system contains information for each book that was borrowed. Each time a person borrows or returns a book from the library, the following information is recorded in a database.

Name and the unique ID number of the person who was borrowing the book

Author, title, and the unique ID number of the book that was borrowed

Date that the book was borrowed

Date that the book was due to be returned

Date that the book was returned (or 0 if the book has not been returned yet)

Which of the following CANNOT be determined from the information collected by the system?

A

The total number of books borrowed in a given year

B

The total number of books that were never borrowed in a given year

C

The total number of books that were returned past their due date in a given year

D

The total number of people who borrowed at least one book in a given year

Answer:45,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation of the parabola in vertex form is y=-2(x-4)²+4.

Given that the vertex point is (4,4), (3,2).

The equation of a parabola in vertex form is y=a(x-h)²+k where a is called stretch coefficient and the point (h,k) is the vertex of the parabola.

A parabola with its vertex at the point (4,4), therefore h=4,k=4 and we can write

y=a(x-4)²+4

To find the value of a we use the point (3,2). Substituting on the equation we get:

y=a(x-4)²+4

2=a(3-2)²+4

2=a(1)²+4

2=a+4

2-4=a

-2=a

Then the equation of the parabola in vertex form is y=-2(x-4)²+4.

Hence, the equation of the parabola in vertex form from the given point (4,4), (3,2) is y=-2(x-4)²+4.

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Answer:

n = -2

Step-by-step explanation:

Dame lo más inteligente

( give me brainllest)

The plain language for the probability of the event "A or B" is "A or B" is the event that the person chosen is overweight or obese.

Probability is a term to describe the chance of some event can occur. The probability is often written as percentages or proportions.

p(A) is the probability of event A can occur in this case this the probability of the chosen child is obese which is 0.41 according to the national center for health statistics.

p(B) is the probability of event B can occur in this case this the probability of the chosen child is overweight but not obese which is 0.33 according to the national center for health statistics.

The plain language for the event "A or B" is event A or event B can occur, so the "A or B" is the event that the person chosen is overweight or obese.

Your question is incomplete, but most probably your full question was

Although the rules of probability are just basic facts about percentages or proportions, we need to be able to use the language of events and their probabilities. Choose an American kid (between 8 and 12) at random. Define two events:

A = the person chosen is obese

B = the person chosen is overweight, but not obese

According to the national center for health statistical,

P(A) = 0.41and P(B) = 0.33.

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To find the eigenvalues of A^T A, we need to square the diagonal matrix in A's singular value decomposition:
A^T A = [\begin{array}{ccc}-0.63&-0.75&-0.22\\0.78&-0.60&-0.17\\-0.01&-0.28&0.96\end{array}\right] [\begin{array}

{ccc}3^2&0&0\\0&4^2&0\\0&0&0^2\end{array}\right] [\begin{array}{ccc}-0.25&0.97&0.05\\-0.86&-0.19&-0.47\\-0.45&-0.16&0.88\end{array}\right]
A^T A = [\begin{array}{ccc}2.63&1.92&-0.22\\1.92&1.56&0.17\\-0.22&0.17&0.96\end{array}\right]

The eigenvalues of A^T A are the same as the singular values of A squared. So, we have:
λ_1 = 4^2 = 16
λ_2 = 3^2 = 9
λ_3 = 0^2 = 0

Therefore, λ_1 = 16, λ_2 = 9, and λ_3 = 0.
To determine the eigenvalues of A^T A, follow these steps:

Step 1: Calculate A^T A.
Given the Singular Value Decomposition (SVD) of matrix A:
A = UΣV^T
Then A^T A = (UΣV^T)^T (UΣV^T) = VΣ^T U^T UΣV^T = VΣ^2 V^T

Step 2: Compute Σ^2.
Σ = [\begin{array}{ccc}3&0&0\\0&4&0\\0&0&0\end{array}]
Σ^2 = [\begin{array}{ccc}(3^2)&0&0\\0&(4^2)&0\\0&0&0\end{array}] = [\begin{array}{ccc}9&0&0\\0&16&0\\0&0&0\end{array}]

Step 3: Find A^T A.
A^T A = VΣ^2 V^T
Insert the given matrices V and Σ^2, and then compute the product.

Step 4: Determine the eigenvalues of A^T A.
Since A^T A is a diagonal matrix (Σ^2), its eigenvalues are the diagonal elements.

Hence, the eigenvalues of A^T A are:
λ_1 = 16
λ_2 = 9
λ_3 = 0

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Step-by-step explanation:

100/2[500/5{6+(21-17)}]

using BODMAS

100/2[500/5{6+4}]

100/2[500/5 × 10]

100/2 [100 × 10]

100/2 × 1000

50× 1000

50000

I think this is the answer. I'm not really sure but this is how I studied

All the best!

Answer:

jsp mon gas demande à ton prof moi c juste pour les point

To find f(g(x)) we need to:

f(x) = 4x - 3    ∧       g(x) = 2x + 1

Therefore:

               \(f\big(g(x)\big)=4(2x+1)- 3=8x+4-3=8x+1\\\\\\\large\boxed{\bold{f\big(g(x)\big)=8x+1}}\)

The inverse z-transforms of: z+1: a. 2(-1)^n u(-n-1), b.  2 u(n-2),

c.  \(\delta (n-1) - \delta(n) + 2(-1)^n u(-n-1),\)

d.\(\delta (n) - (n+1)(z-1)^n u(n)\),

e.  \(A e^(i(n-1)\theta ) u(n-1) + B e^(-i(n-1)\theta ) u(n-1)\)

(a) Using the linearity property of  inverse z-transform:

\(Z^-1 {2z/(z+1)} = 2 Z^-1 {1/(z+1)} = 2(-1)^n u(-n-1)\)

(b) Using the property that Z{u(n-k)} = z^-k/(1-z^-1), we have:

\(Z^-1 {Z^-2 2z} = 2 u(n-2)\)

(c) We can use partial fraction decomposition:

\(z^2/(z+1) + z/(z+1) = z - 1 + 2/(z+1)\)

Using the linearity and time-shifting properties :

\(Z^-1 {z - 1 + 2/(z+1)} = \delta (n-1) - \delta(n) + 2(-1)^n u(-n-1)\)

(d) Using partial fraction decomposition, we can write:

\((z^2 + 3z + 2 - z)/(z^2 - 2z + 2) = 1 - (z-1)/(z^2 - 2z + 2)\)

The denominator of the second term can be written as z^2 - 2z + 1 + 1, which is the square of the expression z - 1.

\(Z^{-1} {1 - (z-1)/(z^2 - 2z + 2)} = \Delta (n) - (n+1)(z-1)^n u(n)\)

(e) Using the quadratic formula, we can factor the denominator as (z-1+i)(z-1-i).

\(I z2 - 2z+2 / (z-1+i)(z-1-i) = A/(z-1+i) + B/(z-1-i)\)

Solving for A and B and using the property that Z{a^n u(n)} = (z-a)/(z-a)^2, we have:

\(Z^{-1} {A/(z-1+i) + B/(z-1-i)} = A e^{(i(n-1)\theta ) u(n-1)} + B e^{(-i(n-1)\theta ) u(n-1)}\)

where θ is the argument of the complex number z-1+i.

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Answer:

$2 price per pound

2 is the constant of proportionality

Step-by-step explanation:

Price of Cherries = $2 per pound

what is the constant of proportionality

If y = total cost of buying x pounds of Cherries at $2 per pound

The equation below represent the situation

y = $2 * x

y = 2x

The constant of proportionality is 2

That is, the $2 price per pound

Answer:

x and y both equal 24

The number of sandwiches that can made with 6 pieces of bread and 4 slices of cheese by the picture to the right is 2 sandwich

The limiting reactant is the one that limits the amount of product that will be formed, causing a specific concentration.

The formula for making a sandwich according to the picture to the left (A) is:

2 pieces of bread + 1 cheese = 1 sandwich

So, if we have 6 pieces of bread and 4 slices of cheese we get:

6 pieces of bread * 1 sandwich/ 2 pieces of bread = 3 sandwich

4 slices of cheese * 1 sandwich/ 1 cheese = 4 sandwich

Thus, bread is the limiting reactant, we have: 3 sandwich

The formula for making a sandwich according to picture to the right (B) is:

2 pieces of bread + 2 cheese = 1 sandwich

So, if we have 6 pieces of bread and 4 slices of cheese we get:

6 pieces of bread * 1 sandwich/ 2 pieces of bread = 3 sandwich

4 slices of cheese * 1 sandwich/ 2 cheese = 2 sandwich

Now the cheese is the limiting reactant, so we have:  2 sandwich

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Answer:

x = 12.48

Step-by-step explanation:

Simplifying

12(x + -13) = 13(12 + -1x)

Reorder the terms:

12(-13 + x) = 13(12 + -1x)

(-13 * 12 + x * 12) = 13(12 + -1x)

(-156 + 12x) = 13(12 + -1x)

-156 + 12x = (12 * 13 + -1x * 13)

-156 + 12x = (156 + -13x)

Solving

-156 + 12x = 156 + -13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '13x' to each side of the equation.

-156 + 12x + 13x = 156 + -13x + 13x

Combine like terms: 12x + 13x = 25x

-156 + 25x = 156 + -13x + 13x

Combine like terms: -13x + 13x = 0

-156 + 25x = 156 + 0

-156 + 25x = 156

Add '156' to each side of the equation.

-156 + 156 + 25x = 156 + 156

Combine like terms: -156 + 156 = 0

0 + 25x = 156 + 156

25x = 156 + 156

Combine like terms: 156 + 156 = 312

25x = 312

Divide each side by '25'.

x = 12.48

Simplifying

x = 12.48

Answer:

x=72±2180313=72±21803√13

Step-by-step explanation:

Answer:(a) "95% confidence" means that if we were to repeat this study many times, we would expect the true proportion of members who would quit to be within the calculated interval for 95% of those studies. In other words, we can be 95% confident that the true proportion of members who would quit falls within the interval.

(b) The interval is [0.18, 0.075]. This means that we are 95% confident that the true proportion of members who would quit if the fee was raised to $50 falls between 0.18 and 0.075.

(c) No, the owner cannot be confident that the fee increase will be worthwhile because the interval from part (b) includes 20%. If the true proportion of members who would quit is 20%, then the fee increase would not be worthwhile. Since the interval includes 20%, we cannot be confident that the true proportion is less than 20%.

(d) One of the conditions for calculating the confidence interval is that the sample size is large enough and that the number of successes and failures in the sample are both at least 10. This is necessary because the interval calculation relies on the normal distribution, which is only valid when the sample size is large enough and the number of successes and failures are both at least 10. If this condition is not met, then the interval calculation may not be accurate or valid.

Step-by-step explanation:

in the equation ONp/ot = -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction, considering both the decrease of reactant concentration and the increase of product concentration.

In the equation ONp/ot = -rpP + OPN, the term -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction with respect to time. Here's a step-by-step explanation:
ONp/ot represents the rate of change of the concentration of a substance N with respect to time (t). This is often used to describe the rate at which a chemical reaction proceeds.
-rpP is the rate of decrease of the concentration of a reactant (P) due to the reaction. The negative sign indicates that the concentration of the reactant is decreasing over time.
OPN is the rate of increase of the concentration of a product (N) due to the reaction. The positive sign indicates that the concentration of the product is increasing over time.
The equation ONp/ot = -rpP + OPN connects these two terms, stating that the rate of change of the concentration of substance N with respect to time is equal to the rate of decrease of reactant P plus the rate of increase of product N.
5. The term -rpP + OPN describes the balance between the decrease of reactant concentration and the increase of product concentration in the chemical reaction. This balance is important in understanding the reaction kinetics and determining the rate at which a reaction occurs.
In summary, -rpP + OPN in the equation ONp/ot = -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction, considering both the decrease of reactant concentration and the increase of product concentration.

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Answer:

y = 9.

Step-by-step explanation:

y = kx where k is a constant.

Substituting the given values:

15 = k*10

k = 15/10 = 1.5 so

y = 1.5x is the relation.

When x = 6

y = 1.5 * 6

= 9..

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

y = kx

k = 1.5 and x = 6

The value of y when x = 6 is 9.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

3x = 5 is an equation.

We have,

If y varies directly as x.

This means,

y ∝ x

y = kx

where k is the constant of proportionality.

Now,

y = 15 when x = 10

This means,

15 = 10k

k = 15/10

k = 1.5

Now,

y = kx

k = 1.5

x = 6

y = 1.5 x 6

y = 9

Thus,

y = kx

k = 1.5 and x = 6

The value of y when x = 6 is 9.

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Answer:

it’s -7

Step-by-step explanation:

because when you subtract the 6 from both sides you get 12x=9x-21 then subtract the 9x from both sides to get 3x=-21 then divide both sides by 3 to get x=-7.

The number of solutions to the system of linear equations shown on the graph is given as follows:

D. One solution at (2, −3).

The number of solutions of the system of equations is given by the number of times which the two functions intersect.

From the image given at the end of the answer, the two functions intersect once, at x = 2 and y = -3, hence the correct option is given by option D.

The graph is given by the image presented at the end of the answer.

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$100 much better off per month would the firm be if it adopted preventive maintenance.

Given that,

We have to find how much more profitable would the company be each month if it implemented preventive maintenance.

We know that,

Number of Breakdowns are 0, 1, 2, 3, 4

The problems for the breakdowns are 0.50, 0.25, 0.10, 0.10, 0.05

Cost of a breakdown is $2,000

A monthly preventive maintenance programme costs $2,000

Expected probability of breakdown:

E(x) = Σ(X × p(x))

= (0×0.5) + (1×0.25) + (2×0.10) + (3×0.10) + (4×0.05)

= 0.95

E(x) ×cost of breakdown = (0.95 × 2000) = $1900

So, Difference between breakdown and preventive maintenance

1900 - 2000 = - $100

Therefore, $100 much better off per month would the firm be if it adopted preventive maintenance.

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The requried width of the pathway around the garden is 4.27 meters.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,

Jamie has a garden that is 20 meters by 30 meters.
Area of the garden = 20 × 30 = 600 square meter
Let the offset in the form of width be x,

New length = 20 + 2x
New width of garden = 30 + 2x
New area =  old area + area of the offset pathway
(20 + 2x)(30 + 2x) = 600 + 500

By the simplification of the above expression, we get
x = 4.27 meter

Thus, the requried width of the pathway around the garden is 4.27 meters.

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Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.

To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.

Convert the growth rate from percentage to decimal:

0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:

302,000,000 + 2,657,600 = 304,657,600.

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Answer:

D. 10

Step-by-step explanation:

\({ \sf{(12x + 12) \degree = 79\degree + (5x + 3)\degree}} \\ { \sf{ \{outer \: angle \: is \: equal \: to \: sum \: of \: inner \: angles \}}} \\ { \sf{12x - 5x = 79 + 3 - 12}} \\ { \sf{7x = 70}} \\ { \sf{x = 10}}\)

Answer:

(4,5)

Step-by-step explanation:

Hi there!

We are given the system of equations:

5x+2y=30

-5x+4y=0

and we need to find the solution

there are 3 ways to solve a system of equations, but let's use the elimination method, where we will add the systems together to clear one variable out, solve for the other variable, and use the value of the solved variable to find the other variable

When we clear a variable, the coefficients need to be opposites (ex. 2 and -2). In this case, the coefficients in front of x are 5 and -5 in the first and second equation respectively

5x+2y=30

-5x+4y=0

add the equations together

6y=30

divide both sides by 6

y=5

we found the value of y

now we need to find the value of x

substitute 5 as y into either one of the equations (ex. the first one) to solve for x

5x+2(5)=30

multiply

5x+10=30

subtract 10 from both sides

5x=20

divide both sides by 5

x=4

so the answer is x=4, y=5; as a point, it's (4,5)

Hope this helps! :)

Using trigonometric ratio, the length of BE is 10 units, the value of sin B is 0.64 and cos B is 0.64 respectively

This is the ratio between the angles and sides of a right-angle triangle. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In this problem, we have that

1)

Using tangent of B

tan B = opposite / adjacent

tan B = NE / BE

3/4 = 7.5 / BE

BE = 7.5 / 0.75

BE = 10

2)

To find sin B, we need to calculate the hypothenuse of the triangle which we will use Pythagoras's theorem

NB² = BE² + NE²

NB² = 10² + 7.5²

NB = 12.5

sin B = NE / NB

sin B = 7.5 / 12.5

B = sin⁻¹ (7.5 / 12.5)

B = 0.64

3)

cos B = BE / NB

cos B = 10 / 12.5

B = cos⁻¹ (10/12.5)

B = 0.64

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Answer:

yes guys please explain

Answer:

2160

Step-by-step explanation:

1872(volume of the cube)+288(volume of the square pyramid)=

2160

v of cube= lwh

v of square pyramid= a² times h/3

please mark brainliest!